mth exprmnt

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Page 1: MTH exprmnt
Page 2: MTH exprmnt

Explore the motion of a ball hanging from a slinky.

Collect experimental data both by hand and by motion detectors

Discover and analyze application of the sine function.

Page 3: MTH exprmnt

Recognize, understand and describe the motion of a sine function application.

Apply understanding of sine function transformations

Developing the equation of a transformation of the sine function

Understand experimental discrepancies

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Need

Page 5: MTH exprmnt

Connect Slinky and Ball

•Attach stress ball to slinky:

•If your stress ball does not fit nicely into the bottom of the slinky, use tape and/or string to attach the stress ball to the end of the slinky. If string and tape are needed, be sure to evenly distribute the ball around the circumference of the slinky to minimize side-ways motion

Connect Slinky and Wall

• Use painters tape to hang the slinky from the ceiling

• Make sure the entire end of the slinky is flush to the surface of the ceiling

Position Measuring tools

• Place the motion detector directly under the slinky-ball system

• Using painters tape, hang measuring tape from the ceiling close enough to the system so that you can accurately read measures for the slinky but yet the motion detector can’t pick up the measuring tape.

Test System

• Practice stretching the slinky down so that the system oscillates with minimal sideways motion

• Test motion detector to make sure the ball is being read and not the tape measure

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Measure!…by hand.

Ball to Motion Detector

Stretched distance

Peak of Oscillation

Ceiling to ball

Time of 5 oscillations

Page 7: MTH exprmnt

Ca

lcu

late

!

Range?

Amplitude?

Period?A

na

lyze

! Describe the objects motion in time?

Representable Function?

Fit to an equation?

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• Turn on Motion Detector

• Use program “Easy Data” on the graphing calculator

• Trial run oscillation detection if needed

• Measure system using as close to the same stretched distance as possible

• Start detector and release the ball as close to the same time as possible.

• After gather six or seven oscillations of data before stopping motion detector.

Determine!…from motion detector data.

Furthest point from motion detector?

Centered value? Range?

Closest point to motion detector?

Slowest motion?

Fastest motion?

Period?

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CBR Data to…

graph to…

sine equation

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A B

C D

Compare and Explain

Values!

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Self Learning

Student Learning